Mathematics – Combinatorics
Scientific paper
2012-01-19
Mathematics
Combinatorics
Extended abstract; submitted to FPSAC 2012. 9 pages, 1 figure
Scientific paper
We study random lozenge tilings of a certain shape in the plane called the Novak half-hexagon, and compute the correlation functions for this process. This model was introduced by Nordenstam and Young (2011) and has many intriguing similarities with a more well-studied model, domino tilings of the Aztec diamond. The most difficult step in the present paper is to compute the inverse of the matrix whose (i,j) entry is the binomial coefficient C(A, B_j - i) for indeterminate variables A and B_1, ..., B_n.
Nordenstam Eric
Young Benjamin
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